Poisson approximation and dna sequence matching

DOI10.1080/03610929008830434zbMath0731.92019OpenAlexW2016279565MaRDI QIDQ3358538

Larry Goldstein

Publication date: 1990

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610929008830434

zbMATH Keywords

order statisticsextreme valuesPoisson distributionmolecular biologydependencetotal variation distanceChen-Stein method of Poisson approximationDNA sequence matchingbirthday coincidences

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Biochemistry, molecular biology (92C40) Protein sequences, DNA sequences (92D20)

Related Items (20)

Reliability of systems subjects to shocks with a stochastic dependence of the damages ⋮ Weak runs in sequences of binary trials ⋮ Joint distributions of numbers of success-runs and failures until the first consecutive \(k\) successes ⋮ Stochastic ordering among success runs statistics in a sequence of exchangeable binary trials ⋮ Runs, scans and urn model distributions: A unified Markov chain approach ⋮ Discriminating membrane proteins using the joint distribution of length sums of success and failure runs ⋮ Discrete time shock models involving runs ⋮ Distributions related to weak runs with a minimum and a maximum number of successes: a unified approach ⋮ Joint distributions of numbers of runs of specified lengths in a sequence of Markov dependent multistate trials ⋮ Generalizations of runs and patterns distributions for sequences of binary trials ⋮ Poisson, compound Poisson and process approximations for testing statistical significance in sequence comparisons ⋮ On success runs of length exceeded a threshold ⋮ On the conditional and unconditional distributions of the number of success runs on a circle with applications ⋮ Success run statistics defined on an urn model ⋮ On Generating Functions of Waiting Times and Numbers of Occurrences of Compound Patterns in a Sequence of Multistate Trials ⋮ Distributions of Runs and Scans on Higher-Order Markov Trees ⋮ Run Statistics Defined on the Multicolor URN Model ⋮ Run and Frequency Quotas Under Markovian Fashion and their Application in Risk Analysis ⋮ Joint distributions of numbers of success runs of specified lengths in linear and circular se\-quences ⋮ A generalized Pólya urn model and related multivariate distributions

Cites Work

• Two moments suffice for Poisson approximations: The Chen-Stein method
• Probability approximations via the Poisson clumping heuristic
• Bump hunting in regression analysis
• Poisson approximation for dependent trials
• On a new law of large numbers
• On Birthday, Collectors', Occupancy and Other Classical Urn Problems

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